A note on the generalized higher-order \(q\)-Bernoulli numbers and polynomials with weight \(\alpha\)

DOI10.11650/TJM.17.2013.2396zbMATH Open1282.11013arXiv1008.1435OpenAlexW2019612660MaRDI QIDQ390050

C. S. Ryoo, Hui Young Lee

Publication date: 22 January 2014

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Abstract: In this paper we give some interesting equation of p-adic q-integrals on Zp. From those p-adic q-integrals, we present a systemic study of some families of extended Carlitz q-Bernoulli numbers and polynomials in p-adic number field.

Full work available at URL: https://arxiv.org/abs/1008.1435

zbMATH Keywords

Bernoulli numbersBernoulli polynomialshigher orderthe \(p\)-adic \(q\)-integral on \(\mathbb Z_p\)

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and (L)-functions (11S40)

Related Items (1)

On the modified \(q\)-Bernoulli numbers of higher order with weight

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